David is six times older than Janet. If David is 48 years​ old, how old is​ Janet?

Answer:

[tex] \displaystyle B)x = {5}^{9} [/tex]

Step-by-step explanation:

we are given a logarithmic equation

[tex] \displaystyle \log_{5}(x) - \log_{5}(25) = 7[/tex]

simplify the log:

[tex] \displaystyle \log_{5}(x) -2 = 7[/tex]

add 2 to both sides:

[tex] \displaystyle \log_{5}(x) = 9[/tex]

remember that,

[tex] \displaystyle \log_{a}(b) = c \iff {a}^{c} = b[/tex]

so we obtain:

[tex] \displaystyle x = {5}^{9} [/tex]

hence,

our answer is B)

Answer:

Patricia's amount of money = $125

Armando's amount of money = $95

Step-by-step explanation:

Given:

Total amount of money = $220

Patricia have $30 more than Armando

Find:

Amount of money each have.

Computation:

Assume;

Patricia's amount of money = a

So,

Armando's amount of money = a - 30

So,

a + a - 30 = 220

2a - 30 = 220

2a = 250

a = 125

Patricia's amount of money = $125

Armando's amount of money = 125 - 30

Armando's amount of money = $95

Answers:

x = 5/2 = 2.5

y = 10

============================================

Explanation:

Focus on the smallest triangle and the medium sized triangle. We can form the proportion 2/4 = x/5 by dividing the corresponding sides together.

Solving for x leads us to the following

2/4 = x/5

2*5 = 4*x

10 = 4x

4x = 10

x = 10/4

x = 5/2

x = 2.5

-----------------

Now focus on the medium sized triangle and the largest triangle. We'll use the same idea as before

4/8 = 5/y

4y = 8*5

4y = 40

y = 40/4

y = 10

Note how each horizontal line is a midsegment, which means that jumping from y = 10 to 5 is us taking half of that value. Then going from 5 to x = 5/2 = 2.5 is another step of cutting in half.

Answer:

56

Step-by-step explanation:

they are same side interior angles so both add up to 180 so just subtract 124 from 180 to get 56

Answer:

Rivers helped Canada in so many ways! One of the ways was it helped Canada travel trading goods with the waterways. Also 7% of the worlds fresh water come from Canada Rivers. Im from Toronto and the rivers here are super important. They provide me, my friends and family and everyone around me fresh water. and there are some beautiful sceneries from them to!  

Step-by-step explanation:

Hope this gave you some ideas and helped please mark brainliest :)

Answer:

Certain heritage rivers, such as the Kazan River in Nunavut, are designated for their natural heritage. These pristine waterways are valued for their undisturbed Fall Caribou Crossing, Parks Canada / Passage-de-Caribous-en-Automne, Parcs Canadabeauty and have been designated to ensure that their natural integrity is protected... https://www.historicplaces.ca/en/pages/17_heritage_rivers-rivieres_patrimoniales.aspx I got you!

Step-by-step explanation:

Answer: 1.22 years

Step-by-step explanation: see photos attached.

Answer:

18X-2+12X+2=360-180

30X=180

X=6

The value of the variable x is 6, in the given rhombus.

A quadrilateral having the following characteristics is called a rhombus:

From the properties of a rhombus,

The sum of all angles is 360°.

Thus, in the given case,

18x-2+12x+2+ 90° +90° = 360°

18x- 2 + 12x +2 = 180°

30x = 180

x = 6

Therefore, the value of the x is 6.

Learn more about Rhombus here:

https://brainly.com/question/27870968

#SPJ5

Answer:

2nd option

1 and 3 ; 2 and 4

Step-by-step explanation:

supplementary angles are those whose sum equal to 180°.

Answer:

(i) 18.4 > 18.04

(ii) 0.7 < 50 > 35

b) 173500

c) 173500

Step-by-s tep explanation:

(i) To compare decimals such as 18.4 and 18.04, first line up the decimal points of the numbers. Next, we compare the digits place by place starting on the left. 1 and 1 are the same, 8 and 8 are the same, but notice that 4 is greater than 0. This means that 18.4 is greater than 18.04.

(ii) Simple less than < greater than > skills.

b) Simple rounding.

c) The answers stays the same; rounding cannot be completed using JUST whole numbers.

Answer: 50.24

Step-by-step explanation:

=3.14x4 squared

=3.14x16

=50.24

Answer:

There are no questions below .

radii...................

Answer:

RADI

Step-by-step explanation:

Answer:

105cm & 245cm

Step-by-step explanation:

[tex]3x+7x=350\\10x=350\\x=35\\\\\\3(35)=105\\7(35)=245[/tex]

Answer:

gradient of horizontal slope is 0

Answer: c

hope this works

ANSWER: symmetric property

hope it helps thanks

brainliest pls

Answer: The answer is Symmetric Property

Answer:

isnt the slope 4.5

Step-by-step explanation:

wewewewewewe

Answer:

4400

Step-by-step explanation:

First take off your deductible

14000-2000

12000

Now find 20 % of this amount

12000*20%

12000 * .20

2400

You have to pay the deductible and the 20%

2000+2400

Solve the given equation for z :

2iz - 5 + i = i - (z - 2i )

2iz - 5 = 2i - z

(2i + 1) z = 2i + 5

z = (2i + 5)/(2i + 1)

z = (2i + 5)/(2i + 1) × (2i - 1)/(2i - 1)

z = (4i ² + 10i - 2i - 5) / (4i ² - 1)

z = (8i - 9)/(-5)

z = 9/5 - 8/5 i

Then

w = z - 1 + i = 4/5 - 3/5 i

Answer:

y ≤ 1/2x - 1

y ≤ -2x + 4

Answer:

[tex]\frac{\sqrt{10}}{2}[/tex]

Step-by-step explanation:

The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle, and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.

From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of [tex]\sqrt{5}[/tex], we have:

[tex]x^2+x^2=\sqrt{5}^2,\\2x^2=5,\\x^2=\frac{5}{2},\\x=\sqrt{\frac{5}{2}}=\frac{\sqrt{5}}{\sqrt{2}}=\frac{\sqrt{5}}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}=\boxed{\frac{\sqrt{10}}{2}}[/tex]

Answer: The gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].

Step-by-step explanation:

Formula for gradient of a line segment :

[tex]\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}[/tex]

Given points of the line segment: (-5,2) and (4,3)

[tex]\text{Gradient} =\dfrac{3-2}{4-(-5)}[/tex]

[tex]\text{Gradient} =\dfrac{1}{4+5)}[/tex]

[tex]\text{Gradient} =\dfrac{1}{9}[/tex]

Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].

Answer:

Step-by-step explanation:

As,

Sum = - 9 + (-2) = -11

Product = -9 × (-2) = 18

Answer:

The answer is B because the title says each day but Friday is missing. Also, the graph is not set up properly as they should be closer together so it could possible be C but, I doubt it.

Answer:

B. well its just not there

Answer:

Price before discount = $20 per keyboard

Price after discount = $18 per keyboard

Before the discount, you can buy 27 keyboards. After the discount, you can buy 30 keyboards.

===============================================

Work Shown:

k = cost of one keyboard before the price reduction

540/k = amount of keyboards purchased before the price reduction

k-2 = cost of one keyboard after the price reduction

540/(k-2) =  amount of keyboards purchased after the price reduction

540/(k-2) = (540/k) + 3

--------------

If you multiply both sides by the LCM k(k-2), then you'll clear out the fractions and we can solve for k like so

540/(k-2) = (540/k) + 3

540k = 540(k-2) + 3k(k-2)

540k = 540k - 1080 + 3k^2 - 6k

0 = 540k - 1080 + 3k^2 - 6k - 540k

0 = 3k^2 - 6k - 1080

3k^2 - 6k - 1080 = 0

3(k^2 - 2k - 360) = 0

k^2 - 2k - 360 = 0

(k - 20)(k + 18) = 0

k-20 = 0 or k+18 = 0

k = 20 or k = -18

We ignore the negative result because a negative price doesn't make sense.

--------------

If k = 20, then

540/k = 540/20 = 27

Meaning that you can buy 27 keyboards before the price reduction

In other words, (27 keyboards)*(20 dollars per keyboard) = 540 dollars total.

After the price reduction, the cost per keyboard is now k-2 = 20-2 = 18

We can now buy 540/(k-2) = 540/18 = 30 keyboards, which is an increase of 30-27 = 3 extra keyboards. This helps confirm we have the correct answer.  

Answer:

$20

Step-by-step explanation:

X: the price of a keyboard

Y: number of keyboards to buy (original)

The shop owner spent $540 to purchase a stock of computer keyboards, so:

XY=540

⇒X=540/Y

If the price of each keyboard had been reduced by $2, he could have bought 3 more keyboards:

(X-2)(Y+3)=540  

⇒3X-2Y=6

⇒3.540/Y – 2Y=6

⇒Y=27

⇒X=20

⇒ the price of one keyboard: $20